257408 has 16 divisors (see below), whose sum is σ = 513060. Its totient is φ = 128640.

The previous prime is 257407. The next prime is 257437. The reversal of 257408 is 804752.

257408 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (16).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 878 + ... + 1133.

2²⁵⁷⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

257408 is a deficient number, since it is larger than the sum of its proper divisors (255652).

257408 is an equidigital number, since it uses as much as digits as its factorization.

257408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 257408 is about 507.3539198627. The cubic root of 257408 is about 63.6122387217.

The spelling of 257408 in words is "two hundred fifty-seven thousand, four hundred eight".